To find the acceleration of the object, we can use the formula:
acceleration (a) = (change in velocity) / (time)
Given that the velocity at the end of 5 successive seconds is 10, 15, 20, 25, and 30 m/s, respectively, we can calculate the change in velocity and the time interval.
Change in velocity = final velocity - initial velocity
For the first second: v = 10 m/s, u = 0 m/s Change in velocity = 10 - 0 = 10 m/s
For the second second: v = 15 m/s, u = 10 m/s Change in velocity = 15 - 10 = 5 m/s
For the third second: v = 20 m/s, u = 15 m/s Change in velocity = 20 - 15 = 5 m/s
For the fourth second: v = 25 m/s, u = 20 m/s Change in velocity = 25 - 20 = 5 m/s
For the fifth second: v = 30 m/s, u = 25 m/s Change in velocity = 30 - 25 = 5 m/s
Now, let's calculate the total time:
Total time = 5 seconds
Finally, we can calculate the acceleration using the formula:
acceleration = (change in velocity) / (time)
acceleration = (10 + 5 + 5 + 5 + 5) m/s / 5 s acceleration = 30 m/s / 5 s acceleration = 6 m/s²
Therefore, the acceleration of the object is 6 m/s².